This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include<fstream>
#pragma GCC optimize("Ofast,O3,unroll-loops")
#pragma GCC target("avx2")
using namespace std;
//ifstream fin("FEEDING.INP");
//ofstream fout("FEEDING.OUT");
#define sz(a) (int)a.size()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
const int mxn = 2005;
const ll inf = 1e18, mod = 1e9 + 7;
struct P{
int x, y; ll w;
bool operator <(const P &b){
if(x != b.x)return(x < b.x);
return(y < b.y);
}
};
struct E{
ll x, y, u, v;
bool operator <(const E &b){
ll val1 = y * b.x, val2 = b.y * x;
if(val1 != val2)return(val1 < val2);
return(make_pair(u, v) < make_pair(b.u, b.v));
}
};
struct Node{
ll sm, b, p, s;
};
Node comb(Node a, Node b){
Node res;
res.sm = a.sm + b.sm;
res.p = max(a.p, a.sm + b.p);
res.s = max(b.s, b.sm + a.s);
res.b = max(max(a.b, b.b), a.s + b.p);
return(res);
}
Node st[(mxn << 2) | 1];
void upd(int nd, int l, int r, int id, ll v){
if(l > id || r < id)return;
if(l == r){
st[nd].p = st[nd].s = st[nd].b = st[nd].sm = v;
return;
}
int mid = (l + r) >> 1;
upd(nd << 1, l, mid, id, v); upd(nd << 1 | 1, mid + 1, r, id, v);
st[nd] = comb(st[nd << 1], st[nd << 1 | 1]);
}
Node get(int nd, int l, int r, int ql, int qr){
if(ql <= l && qr >= r)return(st[nd]);
int mid = (l + r) >> 1;
if(ql > mid)return(get(nd << 1 | 1, mid + 1, r, ql, qr));
else if(qr <= mid)return(get(nd << 1, l, mid, ql, qr));
return(comb(get(nd << 1, l, mid, ql, qr), get(nd << 1 | 1, mid + 1, r, ql, qr)));
}
int n;
P a[mxn + 1];
vt<E>edge;
int pos[mxn + 1];
signed main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++){
cin >> a[i].x >> a[i].y >> a[i].w;
}
sort(a + 1, a + n + 1);
for(int i = 1; i <= n; i++){
pos[i] = i;
for(int j = i + 1; j <= n; j++){
edge.pb({a[j].x - a[i].x, a[j].y - a[i].y, i, j});
}
}
sort(edge.begin(), edge.end());
for(int i = 1; i <= n; i++){
upd(1, 1, n, i, a[i].w);
}
ll ans = max((ll)0, st[1].b);
for(int i = 0; i < sz(edge);){
int r = i;
while(r < sz(edge) && edge[i].y * edge[r].x == edge[r].y * edge[i].x)r++;
for(int j = i; j < r; j++){
int u = edge[j].u, v = edge[j].v;
swap(pos[u], pos[v]);
upd(1, 1, n, pos[u], a[u].w); upd(1, 1, n, pos[v], a[v].w);
}
ans = max(ans, st[1].b);
i = r;
}
cout << ans;
return(0);
}
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